9/4=x-10/x

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Solution for 9/4=x-10/x equation:


D( x )

x = 0

x = 0

x = 0

x in (-oo:0) U (0:+oo)

9/4 = x-(10/x) // - x-(10/x)

10/x-x+9/4 = 0

10*x^-1-1*x^1+9/4*x^0 = 0

(9/4*x^1-1*x^2+10*x^0)/(x^1) = 0 // * x^2

x^1*(9/4*x^1-1*x^2+10*x^0) = 0

x^1

(9/4)*x-x^2+10 = 0

(9/4)*x-x^2+10 = 0

DELTA = (9/4)^2-(-1*4*10)

DELTA = 721/16

DELTA > 0

x = ((721/16)^(1/2)-(9/4))/(-1*2) or x = (-(9/4)-(721/16)^(1/2))/(-1*2)

x = ((721/16)^(1/2)-9/4)/(-2) or x = ((721/16)^(1/2)+9/4)/2

x in { ((721/16)^(1/2)-9/4)/(-2), ((721/16)^(1/2)+9/4)/2}

x in { ((721/16)^(1/2)-9/4)/(-2), ((721/16)^(1/2)+9/4)/2 }

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